37961352 has 128 divisors (see below), whose sum is σ = 123984000. Its totient is φ = 10609920.

The previous prime is 37961351. The next prime is 37961359. The reversal of 37961352 is 25316973.

37961352 is a `hidden beast` number, since 37 + 9 + 613 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (37961351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30274 + ... + 31502.

It is an arithmetic number, because the mean of its divisors is an integer number (968625).

Almost surely, 2^37961352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37961352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992000).

37961352 is an abundant number, since it is smaller than the sum of its proper divisors (86022648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37961352 is a wasteful number, since it uses less digits than its factorization.

37961352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 37961352 is about 6161.2784387658. The cubic root of 37961352 is about 336.0835251534.

The spelling of 37961352 in words is "thirty-seven million, nine hundred sixty-one thousand, three hundred fifty-two".